AQA · Mathematics · 8300

GCSE Maths: Set notation

Probability · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths practice questions for Set notation (Corbettmaths Video 379), and every card links back to the exact page it came from. Practice tests are drawn from this deck’s own cards. Source material © Corbettmaths — used with attribution.

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  1. What does the set notation C ∪ D mean?

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    The union of C and D: elements in C or D or both.

  2. What does the set notation C ∩ D mean?

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    The intersection of C and D: elements in both C and D.

  3. What does the set notation C′ mean?

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    The complement of C: every element of the universal set that is not in C.

  4. In set notation, the symbol ξ represents the ? set.

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    universal

  5. List the elements of ?.

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    16, 25, 36, 49

  6. If A = ? and B = ?, what is A ∩ B?

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    7, 9 — the elements common to both sets.

  7. If C = ? and D = ?, what is C ∪ D?

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    1, 2, 4, 6, 9 — every element in either set, with 4 listed only once.

  8. If ξ = ? and A = ?, what is A′?

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    21, 22, 27 — the elements of ξ not in A.

  9. How do you find P(element is in A ∩ B) when picking at random from ξ?

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    Divide the number of elements in A ∩ B by the number of elements in ξ.

  10. Which number between 10 and 101 is both a square and a cube?

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    64 (8² and 4³).

  11. Which set is equivalent to C′ ∩ D′?

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    (C ∪ D)′ — the elements in neither C nor D.

  12. Which set is equivalent to A′ ∪ B′?

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    (A ∩ B)′ — every element not in both A and B.

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